Compare commits
No commits in common. "cbcead48f7180424a8bb1f1961fdf79c00a0dffd" and "48088762be5e3643e137a3bc58c21b725c84a1ee" have entirely different histories.
cbcead48f7
...
48088762be
@ -1,7 +1,7 @@
|
|||||||
#!/usr/bin/env python
|
#!/usr/bin/env python
|
||||||
# encoding: utf-8
|
# encoding: utf-8
|
||||||
|
|
||||||
from .calculus import Expression, Integer, Decimal, random_list, render, Polynomial
|
from .calculus import Expression, Integer, Decimal, random_list
|
||||||
|
|
||||||
# Expression.set_render('tex')
|
# Expression.set_render('tex')
|
||||||
|
|
||||||
|
@ -108,35 +108,66 @@ x^7
|
|||||||
(6 + 6) * x + 4x^2 + 9
|
(6 + 6) * x + 4x^2 + 9
|
||||||
4x^2 + 12x + 9
|
4x^2 + 12x + 9
|
||||||
|
|
||||||
>>> e = Expression.from_str("(2x-3)(-x+2)")
|
>>> e = Expression.from_str("(2x+3)(-x+1)")
|
||||||
>>> e_simplified = e.simplify()
|
>>> e_simplified = e.simplify()
|
||||||
>>> e_simplified
|
>>> e_simplified
|
||||||
<Quadratic - 2x^2 + 7x - 6>
|
<Quadratic - 2x^2 - x + 3>
|
||||||
>>> for s in e_simplified.explain():
|
>>> for s in e_simplified.explain():
|
||||||
... print(s)
|
... print(s)
|
||||||
(2x - 3)(- x + 2)
|
|
||||||
(2x - 3)(- x + 2)
|
|
||||||
2x(- x) + 2x * 2 - 3(- x) - 3 * 2
|
|
||||||
2(- 1) * x^(1 + 1) + 2 * 2 * x - 3(- 1) * x - 6
|
|
||||||
4x + 3x - 2x^2 - 6
|
|
||||||
(4 + 3) * x - 2x^2 - 6
|
|
||||||
- 2x^2 + 7x - 6
|
|
||||||
"""
|
"""
|
||||||
|
|
||||||
from .expression import Expression
|
from .expression import Expression
|
||||||
from .tokens import Token
|
from .tokens import Token
|
||||||
from .tokens.polynomial import Polynomial
|
from .tokens.number import Integer, Decimal
|
||||||
from .tokens.number import Integer, Decimal, Fraction
|
|
||||||
from .renders import render
|
|
||||||
|
def set_render(render):
|
||||||
|
"""
|
||||||
|
:example:
|
||||||
|
>>> e = Expression.from_str("2+3*4")
|
||||||
|
>>> print(e)
|
||||||
|
2 + 3 * 4
|
||||||
|
>>> e = Expression.from_str("2+3/4")
|
||||||
|
>>> print(e)
|
||||||
|
2 + 3 / 4
|
||||||
|
>>> es = e.simplify()
|
||||||
|
>>> print(es)
|
||||||
|
11 / 4
|
||||||
|
>>> set_render('tex')
|
||||||
|
>>> Expression.RENDER
|
||||||
|
'tex'
|
||||||
|
>>> Token.RENDER
|
||||||
|
'tex'
|
||||||
|
>>> e = Expression.from_str("2+3*4")
|
||||||
|
>>> print(e)
|
||||||
|
2 + 3 \\times 4
|
||||||
|
>>> e = Expression.from_str("2+3/4")
|
||||||
|
>>> print(e)
|
||||||
|
2 + \\dfrac{3}{4}
|
||||||
|
>>> es = e.simplify()
|
||||||
|
>>> print(es)
|
||||||
|
\\dfrac{11}{4}
|
||||||
|
>>> set_render('txt')
|
||||||
|
"""
|
||||||
|
Expression.set_render(render)
|
||||||
|
Token.set_render(render)
|
||||||
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
if __name__ == "__main__":
|
||||||
e = Expression.from_str("(2x-3)(-x+2)")
|
e = Expression.from_str("1+2/3/4/5")
|
||||||
e_simplified = e.simplify()
|
et = e._typing()
|
||||||
e_simplified
|
print("typing")
|
||||||
for s in e_simplified.explain():
|
print(e._tree)
|
||||||
print(s._tree.map_on_leaf(lambda x: type(x)))
|
e = et._order()
|
||||||
print(s)
|
print("order")
|
||||||
|
print(e._tree)
|
||||||
|
e = e._optimize()
|
||||||
|
print("then optimize")
|
||||||
|
print(e._tree)
|
||||||
|
e = et._optimize()
|
||||||
|
print("optimize without order")
|
||||||
|
print(e._tree)
|
||||||
|
|
||||||
# -----------------------------
|
# -----------------------------
|
||||||
# Reglages pour 'vim'
|
# Reglages pour 'vim'
|
||||||
|
@ -21,7 +21,7 @@ from ..core.random import (
|
|||||||
)
|
)
|
||||||
from ..core.MO import moify
|
from ..core.MO import moify
|
||||||
from .tokens import factory
|
from .tokens import factory
|
||||||
from .renders import render
|
from .renders import renders
|
||||||
|
|
||||||
|
|
||||||
class Expression(object):
|
class Expression(object):
|
||||||
@ -42,6 +42,7 @@ class Expression(object):
|
|||||||
14
|
14
|
||||||
"""
|
"""
|
||||||
|
|
||||||
|
RENDER = "txt"
|
||||||
|
|
||||||
def __init__(self, tree, ancestor=None):
|
def __init__(self, tree, ancestor=None):
|
||||||
"""
|
"""
|
||||||
@ -49,6 +50,15 @@ class Expression(object):
|
|||||||
self._tree = tree
|
self._tree = tree
|
||||||
self._ancestor = ancestor
|
self._ancestor = ancestor
|
||||||
|
|
||||||
|
@classmethod
|
||||||
|
def set_render(cls, render):
|
||||||
|
""" Define default render function
|
||||||
|
|
||||||
|
:param render: render name (txt or tex)
|
||||||
|
|
||||||
|
"""
|
||||||
|
cls.RENDER = render
|
||||||
|
|
||||||
@classmethod
|
@classmethod
|
||||||
def from_str(cls, string, typing=True):
|
def from_str(cls, string, typing=True):
|
||||||
""" Initiate the expression from a string
|
""" Initiate the expression from a string
|
||||||
@ -138,10 +148,10 @@ class Expression(object):
|
|||||||
return cls(t)
|
return cls(t)
|
||||||
|
|
||||||
def __str__(self):
|
def __str__(self):
|
||||||
return render(self._tree)
|
return renders[self.RENDER](self._tree)
|
||||||
|
|
||||||
def __repr__(self):
|
def __repr__(self):
|
||||||
return f"<Exp: {render(self._tree, 'txt')}>"
|
return f"<Exp: {renders['txt'](self._tree)}>"
|
||||||
|
|
||||||
def _order(self, exclude_nodes=["*", "/", "**"]):
|
def _order(self, exclude_nodes=["*", "/", "**"]):
|
||||||
""" Order the expression base on types
|
""" Order the expression base on types
|
||||||
|
@ -12,55 +12,34 @@ Expression
|
|||||||
"""
|
"""
|
||||||
from ..core import tree2txt, tree2tex
|
from ..core import tree2txt, tree2tex
|
||||||
|
|
||||||
class Render(object):
|
|
||||||
""" Object which render Expression or token """
|
|
||||||
|
|
||||||
def __init__(self, default="txt"):
|
def _txt(mo_tree):
|
||||||
self._default = default
|
""" txt render for MOs or Trees"""
|
||||||
self._render = default
|
|
||||||
self.renders = {}
|
|
||||||
|
|
||||||
def register_render(self, name, func, attribute):
|
|
||||||
""" register a render """
|
|
||||||
try:
|
try:
|
||||||
self.renders[name]
|
return tree2txt(mo_tree)
|
||||||
except KeyError:
|
|
||||||
self.renders[name] = {"name": name, "func": func, "attribute": attribute}
|
|
||||||
else:
|
|
||||||
raise ValueError("This render name already exists")
|
|
||||||
|
|
||||||
@property
|
|
||||||
def render(self):
|
|
||||||
return self.renders[self._render]
|
|
||||||
|
|
||||||
def __call__(self, mo_tree, tmp_render=''):
|
|
||||||
if tmp_render:
|
|
||||||
r = self.renders[tmp_render]
|
|
||||||
else:
|
|
||||||
r = self.render
|
|
||||||
|
|
||||||
try:
|
|
||||||
return r["func"](mo_tree)
|
|
||||||
except ValueError:
|
except ValueError:
|
||||||
pass
|
pass
|
||||||
|
|
||||||
try:
|
try:
|
||||||
return getattr(mo_tree, r["attribute"])
|
return mo_tree.__txt__
|
||||||
except AttributeError:
|
except AttributeError:
|
||||||
return str(mo_tree)
|
return str(mo_tree)
|
||||||
|
|
||||||
def set_render(self, render):
|
|
||||||
""" Define the render """
|
def _tex(mo_tree):
|
||||||
if render in self.renders.keys():
|
""" Tex render for MOs or Trees"""
|
||||||
self._render = render
|
try:
|
||||||
else:
|
return tree2tex(mo_tree)
|
||||||
raise ValueError("This render does not exists")
|
except ValueError:
|
||||||
|
pass
|
||||||
|
|
||||||
|
try:
|
||||||
|
return mo_tree.__tex__
|
||||||
|
except AttributeError:
|
||||||
|
return str(mo_tree)
|
||||||
|
|
||||||
|
|
||||||
|
renders = {"txt": _txt, "tex": _tex}
|
||||||
render = Render()
|
|
||||||
render.register_render("txt", tree2txt, "__txt__")
|
|
||||||
render.register_render("tex", tree2tex, "__tex__")
|
|
||||||
|
|
||||||
# -----------------------------
|
# -----------------------------
|
||||||
# Reglages pour 'vim'
|
# Reglages pour 'vim'
|
||||||
|
@ -18,7 +18,7 @@ from ...core.MO import MO, MOnumber
|
|||||||
from ...core.MO.fraction import MOFraction
|
from ...core.MO.fraction import MOFraction
|
||||||
from random import random
|
from random import random
|
||||||
|
|
||||||
__all__ = ["Integer", "Decimal", "Fraction"]
|
__all__ = ["Integer", "Decimal"]
|
||||||
|
|
||||||
|
|
||||||
class Integer(Token):
|
class Integer(Token):
|
||||||
@ -237,25 +237,11 @@ class Fraction(Token):
|
|||||||
|
|
||||||
@property
|
@property
|
||||||
def numerator(self):
|
def numerator(self):
|
||||||
""" Get numerator of the fraction
|
return self._mo.numerator
|
||||||
|
|
||||||
:example:
|
|
||||||
>>> a = Fraction("3/4")
|
|
||||||
>>> a.numerator
|
|
||||||
<Integer 3>
|
|
||||||
"""
|
|
||||||
return Integer(self._mo.numerator)
|
|
||||||
|
|
||||||
@property
|
@property
|
||||||
def denominator(self):
|
def denominator(self):
|
||||||
""" Get denominator of the fraction
|
return self._mo.denominator
|
||||||
|
|
||||||
:example:
|
|
||||||
>>> a = Fraction("3/4")
|
|
||||||
>>> a.denominator
|
|
||||||
<Integer 4>
|
|
||||||
"""
|
|
||||||
return Integer(self._mo.denominator)
|
|
||||||
|
|
||||||
@property
|
@property
|
||||||
def decimal(self):
|
def decimal(self):
|
||||||
|
@ -15,7 +15,6 @@ from .token import Token
|
|||||||
from . import to_be_token
|
from . import to_be_token
|
||||||
from ...core.MO import MO
|
from ...core.MO import MO
|
||||||
from ...core.MO.atoms import moify
|
from ...core.MO.atoms import moify
|
||||||
from ...core.MO.polynomial import MOpolynomial
|
|
||||||
|
|
||||||
__all__ = ["Polynomial", "Quadratic", "Linear"]
|
__all__ = ["Polynomial", "Quadratic", "Linear"]
|
||||||
|
|
||||||
@ -45,21 +44,9 @@ class Polynomial(Token):
|
|||||||
return cls(mo, name, ancestor)
|
return cls(mo, name, ancestor)
|
||||||
|
|
||||||
@classmethod
|
@classmethod
|
||||||
def from_coefficients(cls, coefficients, variable_name="x", name=""):
|
def from_coefficients(cls, coefficients):
|
||||||
""" Initiate polynomial from list of coefficients
|
""" Initiate polynomial from list of coefficients """
|
||||||
|
pass
|
||||||
:examples:
|
|
||||||
>>> P = Polynomial.from_coefficients([1, 2, 3])
|
|
||||||
>>> P
|
|
||||||
<Polynomial 3x^2 + 2x + 1>
|
|
||||||
>>> P = Polynomial.from_coefficients([1, 2, -3])
|
|
||||||
>>> P
|
|
||||||
<Polynomial - 3x^2 + 2x + 1>
|
|
||||||
>>> P = Polynomial.from_coefficients([1, 2, 3], "y")
|
|
||||||
>>> P
|
|
||||||
<Polynomial 3y^2 + 2y + 1>
|
|
||||||
"""
|
|
||||||
return cls(MOpolynomial(variable_name, coefficients), name)
|
|
||||||
|
|
||||||
@classmethod
|
@classmethod
|
||||||
def random(cls):
|
def random(cls):
|
||||||
|
@ -10,7 +10,7 @@
|
|||||||
Tokens: practical envelop of math object
|
Tokens: practical envelop of math object
|
||||||
|
|
||||||
"""
|
"""
|
||||||
from ..renders import render
|
from ..renders import renders
|
||||||
from ...core.MO.atoms import moify
|
from ...core.MO.atoms import moify
|
||||||
|
|
||||||
|
|
||||||
@ -18,6 +18,8 @@ class Token(object):
|
|||||||
|
|
||||||
""" Token: practical envelop of an math object """
|
""" Token: practical envelop of an math object """
|
||||||
|
|
||||||
|
RENDER = "txt"
|
||||||
|
|
||||||
def __init__(self, mo, name="", ancestor=None):
|
def __init__(self, mo, name="", ancestor=None):
|
||||||
self._mo = mo
|
self._mo = mo
|
||||||
self.name = name
|
self.name = name
|
||||||
@ -32,6 +34,14 @@ class Token(object):
|
|||||||
):
|
):
|
||||||
raise NotImplemented
|
raise NotImplemented
|
||||||
|
|
||||||
|
@classmethod
|
||||||
|
def set_render(cls, render):
|
||||||
|
""" Define default render function
|
||||||
|
|
||||||
|
:param render: render name (txt or tex)
|
||||||
|
"""
|
||||||
|
cls.RENDER = render
|
||||||
|
|
||||||
def explain(self):
|
def explain(self):
|
||||||
""" Yield every calculus step which have lead to self
|
""" Yield every calculus step which have lead to self
|
||||||
|
|
||||||
@ -54,10 +64,10 @@ class Token(object):
|
|||||||
yield self
|
yield self
|
||||||
|
|
||||||
def __repr__(self):
|
def __repr__(self):
|
||||||
return f"<{self.__class__.__name__} {render(self._mo, 'txt')}>"
|
return f"<{self.__class__.__name__} {renders['txt'](self._mo)}>"
|
||||||
|
|
||||||
def __str__(self):
|
def __str__(self):
|
||||||
return render(self._mo)
|
return renders[self.RENDER](self._mo)
|
||||||
|
|
||||||
@property
|
@property
|
||||||
def raw(self):
|
def raw(self):
|
||||||
|
@ -13,7 +13,7 @@ Make calculus as a student
|
|||||||
Expression is the classe wich handle all calculus. It can randomly generate or import calculus, simplify them and explain them as a student would do.
|
Expression is the classe wich handle all calculus. It can randomly generate or import calculus, simplify them and explain them as a student would do.
|
||||||
|
|
||||||
>>> from mapytex.calculus import Expression
|
>>> from mapytex.calculus import Expression
|
||||||
>>> render.set_render("txt")
|
>>> Expression.set_render("txt")
|
||||||
>>> e = Expression.from_str("2x + 6 - 3x")
|
>>> e = Expression.from_str("2x + 6 - 3x")
|
||||||
>>> print(e)
|
>>> print(e)
|
||||||
2x + 6 - 3x
|
2x + 6 - 3x
|
||||||
@ -30,7 +30,7 @@ Expression is the classe wich handle all calculus. It can randomly generate or i
|
|||||||
|
|
||||||
"""
|
"""
|
||||||
|
|
||||||
from .API import Expression, Integer, Decimal, render, Polynomial
|
from .API import Expression, Integer, Decimal
|
||||||
from .core import random_list
|
from .core import random_list
|
||||||
from decimal import getcontext
|
from decimal import getcontext
|
||||||
#getcontext().prec = 2
|
#getcontext().prec = 2
|
||||||
|
@ -91,11 +91,9 @@ def mul2tex(left, right):
|
|||||||
'- 3x'
|
'- 3x'
|
||||||
>>> mul2tex(a, a)
|
>>> mul2tex(a, a)
|
||||||
'x \\times x'
|
'x \\times x'
|
||||||
>>> mul2tex(a, MO.factory(-3))
|
|
||||||
'x(- 3)'
|
|
||||||
"""
|
"""
|
||||||
left_ = render_with_parenthesis(left, "*")
|
left_ = render_with_parenthesis(left, "*")
|
||||||
right_ = render_with_parenthesis(right, "*", is_at_right=True)
|
right_ = render_with_parenthesis(right, "*")
|
||||||
|
|
||||||
display_time = True
|
display_time = True
|
||||||
# if (right_[0].isalpha() and (left_.isnumeric() or left_.isdecimal())) or right_[
|
# if (right_[0].isalpha() and (left_.isnumeric() or left_.isdecimal())) or right_[
|
||||||
@ -185,17 +183,23 @@ def pow2tex(left, right):
|
|||||||
return f"{left_}^{{{right_}}}"
|
return f"{left_}^{{{right_}}}"
|
||||||
|
|
||||||
|
|
||||||
def render_with_parenthesis(subtree, operator, is_at_right=False):
|
def render_with_parenthesis(subtree, operator):
|
||||||
subtree_need_parenthesis = False
|
subtree_need_parenthesis = False
|
||||||
try:
|
try:
|
||||||
subtree.node
|
subtree.node
|
||||||
except AttributeError:
|
except AttributeError:
|
||||||
|
try:
|
||||||
|
if (
|
||||||
|
OPERATORS[subtree.MAINOP]["precedence"]
|
||||||
|
< OPERATORS[operator]["precedence"]
|
||||||
|
):
|
||||||
|
subtree_need_parenthesis = True
|
||||||
|
except (AttributeError, KeyError):
|
||||||
|
pass
|
||||||
try:
|
try:
|
||||||
subtree_ = subtree.__tex__
|
subtree_ = subtree.__tex__
|
||||||
except AttributeError:
|
except AttributeError:
|
||||||
subtree_ = str(subtree)
|
subtree_ = str(subtree)
|
||||||
if subtree_.startswith("-") and OPERATORS["-"]["precedence"] < OPERATORS[operator]["precedence"] and is_at_right:
|
|
||||||
subtree_need_parenthesis = True
|
|
||||||
else:
|
else:
|
||||||
if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]:
|
if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]:
|
||||||
subtree_need_parenthesis = True
|
subtree_need_parenthesis = True
|
||||||
|
@ -91,13 +91,11 @@ def mul2txt(left, right):
|
|||||||
'- 3x'
|
'- 3x'
|
||||||
>>> mul2txt(a, a)
|
>>> mul2txt(a, a)
|
||||||
'x * x'
|
'x * x'
|
||||||
>>> mul2txt(a, MO.factory(-3))
|
|
||||||
'x(- 3)'
|
|
||||||
"""
|
"""
|
||||||
display_time = True
|
display_time = True
|
||||||
|
|
||||||
left_ = render_with_parenthesis(left, "*")
|
left_ = render_with_parenthesis(left, "*")
|
||||||
right_ = render_with_parenthesis(right, "*", is_at_right=True)
|
right_ = render_with_parenthesis(right, "*")
|
||||||
|
|
||||||
if right_[0].isalpha():
|
if right_[0].isalpha():
|
||||||
# TODO: C'est bien beurk en dessous... |ven. déc. 21 12:03:07 CET 2018
|
# TODO: C'est bien beurk en dessous... |ven. déc. 21 12:03:07 CET 2018
|
||||||
@ -189,22 +187,23 @@ def pow2txt(left, right):
|
|||||||
return f"{left_}^{right_}"
|
return f"{left_}^{right_}"
|
||||||
|
|
||||||
|
|
||||||
def tree_with_parenthesis(subtree, operator):
|
def render_with_parenthesis(subtree, operator):
|
||||||
""" Assuming the subtree is a tree, then have .node """
|
|
||||||
pass
|
|
||||||
|
|
||||||
|
|
||||||
def render_with_parenthesis(subtree, operator, is_at_right=False):
|
|
||||||
subtree_need_parenthesis = False
|
subtree_need_parenthesis = False
|
||||||
try:
|
try:
|
||||||
subtree.node
|
subtree.node
|
||||||
except AttributeError:
|
except AttributeError:
|
||||||
|
try:
|
||||||
|
if (
|
||||||
|
OPERATORS[subtree.MAINOP]["precedence"]
|
||||||
|
< OPERATORS[operator]["precedence"]
|
||||||
|
):
|
||||||
|
subtree_need_parenthesis = True
|
||||||
|
except (AttributeError, KeyError):
|
||||||
|
pass
|
||||||
try:
|
try:
|
||||||
subtree_ = subtree.__txt__
|
subtree_ = subtree.__txt__
|
||||||
except AttributeError:
|
except AttributeError:
|
||||||
subtree_ = str(subtree)
|
subtree_ = str(subtree)
|
||||||
if subtree_.startswith("-") and OPERATORS["-"]["precedence"] < OPERATORS[operator]["precedence"] and is_at_right:
|
|
||||||
subtree_need_parenthesis = True
|
|
||||||
else:
|
else:
|
||||||
if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]:
|
if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]:
|
||||||
subtree_need_parenthesis = True
|
subtree_need_parenthesis = True
|
||||||
|
Loading…
Reference in New Issue
Block a user